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Finding the Fourth Proportional to 845.62, 1,266.25 and 772.18

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Solution

The fourth proportional to 845.62, 1,266.25 and 772.18 is: 1,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.62 : 1,266.25 = 772.18 : x
  2. Step 2: Convert to fraction form
    845.62/1,266.25 = 772.18/x
  3. Step 3: Cross multiply
    845.62x = 1,266.25 × 772.18
  4. Step 4: Simplify right side
    845.62x = 977,772.93
  5. Step 5: Solve for x
    x = 977,772.93/845.62
  6. Step 6: Final answer
    x = 1,156.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.